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Simplifying ln(x + 8) + -1ln(13) = ln(18) Reorder the terms: ln(8 + x) + -1ln(13) = ln(18) (8 * ln + x * ln) + -1ln(13) = ln(18) (8ln + lnx) + -1ln(13) = ln(18) Reorder the terms for easier multiplication: 8ln + lnx + -1 * 13ln = ln(18) Multiply -1 * 13 8ln + lnx + -13ln = ln(18) Reorder the terms: 8ln + -13ln + lnx = ln(18) Combine like terms: 8ln + -13ln = -5ln -5ln + lnx = ln(18) Reorder the terms for easier multiplication: -5ln + lnx = 18ln Solving -5ln + lnx = 18ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-18ln' to each side of the equation. -5ln + -18ln + lnx = 18ln + -18ln Combine like terms: -5ln + -18ln = -23ln -23ln + lnx = 18ln + -18ln Combine like terms: 18ln + -18ln = 0 -23ln + lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-23 + x) = 0Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-23 + x)' equal to zero and attempt to solve: Simplifying -23 + x = 0 Solving -23 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + x = 0 + 23 x = 0 + 23 Combine like terms: 0 + 23 = 23 x = 23 Add '-1x' to each side of the equation. x + -1x = 23 + -1x Combine like terms: x + -1x = 0 0 = 23 + -1x Simplifying 0 = 23 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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